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Finding the Fourth Proportional to 3,505.66, 5,258.79 and 1,006.90

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Solution

The fourth proportional to 3,505.66, 5,258.79 and 1,006.90 is: 1,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.66 : 5,258.79 = 1,006.90 : x
  2. Step 2: Convert to fraction form
    3,505.66/5,258.79 = 1,006.90/x
  3. Step 3: Cross multiply
    3,505.66x = 5,258.79 × 1,006.90
  4. Step 4: Simplify right side
    3,505.66x = 5,295,075.65
  5. Step 5: Solve for x
    x = 5,295,075.65/3,505.66
  6. Step 6: Final answer
    x = 1,510.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.